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Finding the Fourth Proportional to 180,466.40, 270,116.40 and 140,808.80

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Solution

The fourth proportional to 180,466.40, 270,116.40 and 140,808.80 is: 210,758.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,466.40 : 270,116.40 = 140,808.80 : x
  2. Step 2: Convert to fraction form
    180,466.40/270,116.40 = 140,808.80/x
  3. Step 3: Cross multiply
    180,466.40x = 270,116.40 × 140,808.80
  4. Step 4: Simplify right side
    180,466.40x = 38,034,766,144.32
  5. Step 5: Solve for x
    x = 38,034,766,144.32/180,466.40
  6. Step 6: Final answer
    x = 210,758.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.